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Finding the Fourth Proportional to 9,819.84, 14,718.76 and 3,891.24

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Solution

The fourth proportional to 9,819.84, 14,718.76 and 3,891.24 is: 5,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.84 : 14,718.76 = 3,891.24 : x
  2. Step 2: Convert to fraction form
    9,819.84/14,718.76 = 3,891.24/x
  3. Step 3: Cross multiply
    9,819.84x = 14,718.76 × 3,891.24
  4. Step 4: Simplify right side
    9,819.84x = 57,274,227.66
  5. Step 5: Solve for x
    x = 57,274,227.66/9,819.84
  6. Step 6: Final answer
    x = 5,832.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.